Regression Models MA data analysis
Additive Multiple Linear Model
all, solid, and liquid food waste
## Response food_waste_kg :
##
## Call:
## lm(formula = food_waste_kg ~ var., data = .)
##
## Residuals:
## Min 1Q Median 3Q Max
## -1.9444 -0.6870 -0.1213 0.5307 3.2825
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) -1.4487861 0.7001179 -2.069 0.0403 *
## var.temp_c 0.0028126 0.0086899 0.324 0.7466
## var.humi_p 0.0053388 0.0073629 0.725 0.4695
## var.prcp_mm -0.0417248 0.0396404 -1.053 0.2942
## var.tueE 0.1706132 0.1857893 0.918 0.3599
## var.wedE -0.1088752 0.1849244 -0.589 0.5569
## var.thuE -0.3865671 0.1787284 -2.163 0.0322 *
## var.friE 0.1925727 0.1752651 1.099 0.2737
## var.satE -0.2594445 0.1845003 -1.406 0.1618
## var.container 0.2795788 0.1621429 1.724 0.0867 .
## var.liquors 0.0060825 0.0523540 0.116 0.9077
## var.sales 0.0039416 0.0005678 6.942 1.13e-10 ***
## var.halfs 0.0691157 0.0283383 2.439 0.0159 *
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 0.9858 on 148 degrees of freedom
## Multiple R-squared: 0.543, Adjusted R-squared: 0.506
## F-statistic: 14.66 on 12 and 148 DF, p-value: < 2.2e-16
##
##
## Response solid_waste_kg :
##
## Call:
## lm(formula = solid_waste_kg ~ var., data = .)
##
## Residuals:
## Min 1Q Median 3Q Max
## -0.77317 -0.26285 -0.08542 0.17375 2.23890
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) -0.3393464 0.2891174 -1.174 0.2424
## var.temp_c -0.0018981 0.0035885 -0.529 0.5976
## var.humi_p 0.0010506 0.0030406 0.346 0.7302
## var.prcp_mm -0.0173666 0.0163697 -1.061 0.2905
## var.tueE 0.1472586 0.0767227 1.919 0.0569 .
## var.wedE -0.0170184 0.0763655 -0.223 0.8240
## var.thuE -0.1422127 0.0738068 -1.927 0.0559 .
## var.friE 0.0577250 0.0723767 0.798 0.4264
## var.satE -0.0972288 0.0761904 -1.276 0.2039
## var.container -0.0292830 0.0669578 -0.437 0.6625
## var.liquors 0.0078168 0.0216199 0.362 0.7182
## var.sales 0.0012807 0.0002345 5.462 1.94e-07 ***
## var.halfs 0.0138583 0.0117024 1.184 0.2382
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 0.4071 on 148 degrees of freedom
## Multiple R-squared: 0.3845, Adjusted R-squared: 0.3346
## F-statistic: 7.704 on 12 and 148 DF, p-value: 5.36e-11
##
##
## Response liquid_waste_kg :
##
## Call:
## lm(formula = liquid_waste_kg ~ var., data = .)
##
## Residuals:
## Min 1Q Median 3Q Max
## -1.42750 -0.48344 -0.07879 0.44523 1.80789
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) -1.1094396 0.4911865 -2.259 0.02536 *
## var.temp_c 0.0047107 0.0060966 0.773 0.44095
## var.humi_p 0.0042882 0.0051656 0.830 0.40780
## var.prcp_mm -0.0243582 0.0278108 -0.876 0.38253
## var.tueE 0.0233546 0.1303455 0.179 0.85805
## var.wedE -0.0918567 0.1297387 -0.708 0.48005
## var.thuE -0.2443544 0.1253917 -1.949 0.05322 .
## var.friE 0.1348477 0.1229620 1.097 0.27457
## var.satE -0.1622157 0.1294412 -1.253 0.21211
## var.container 0.3088618 0.1137557 2.715 0.00741 **
## var.liquors -0.0017344 0.0367304 -0.047 0.96240
## var.sales 0.0026609 0.0003983 6.680 4.52e-10 ***
## var.halfs 0.0552573 0.0198815 2.779 0.00615 **
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 0.6916 on 148 degrees of freedom
## Multiple R-squared: 0.5535, Adjusted R-squared: 0.5173
## F-statistic: 15.29 on 12 and 148 DF, p-value: < 2.2e-16Coefficients Visualization
Additive Multiple Linear Model per Customer
all, solid, and liquid per Customer
## Response food_waste_p_kg :
##
## Call:
## lm(formula = food_waste_p_kg ~ var., data = .)
##
## Residuals:
## Min 1Q Median 3Q Max
## -0.070808 -0.025440 -0.002235 0.020112 0.146466
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) 3.970e-02 2.660e-02 1.492 0.138
## var.temp_c 1.395e-04 3.301e-04 0.423 0.673
## var.humi_p 5.093e-05 2.797e-04 0.182 0.856
## var.prcp_mm -1.914e-03 1.506e-03 -1.271 0.206
## var.tueE 5.465e-03 7.058e-03 0.774 0.440
## var.wedE -6.143e-03 7.025e-03 -0.874 0.383
## var.thuE -7.898e-03 6.790e-03 -1.163 0.247
## var.friE 8.833e-03 6.658e-03 1.327 0.187
## var.satE -1.050e-02 7.009e-03 -1.499 0.136
## var.container 1.533e-02 6.160e-03 2.488 0.014 *
## var.liquors 1.945e-03 1.989e-03 0.978 0.330
## var.sales 3.475e-05 2.157e-05 1.611 0.109
## var.halfs 6.672e-04 1.077e-03 0.620 0.536
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 0.03745 on 148 degrees of freedom
## Multiple R-squared: 0.1602, Adjusted R-squared: 0.09214
## F-statistic: 2.353 on 12 and 148 DF, p-value: 0.008537
##
##
## Response solid_waste_p_kg :
##
## Call:
## lm(formula = solid_waste_p_kg ~ var., data = .)
##
## Residuals:
## Min 1Q Median 3Q Max
## -0.027111 -0.009757 -0.001349 0.007366 0.101048
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) 2.035e-02 1.107e-02 1.838 0.0680 .
## var.temp_c -4.721e-05 1.374e-04 -0.344 0.7316
## var.humi_p -3.825e-05 1.164e-04 -0.329 0.7430
## var.prcp_mm -8.164e-04 6.267e-04 -1.303 0.1947
## var.tueE 5.960e-03 2.937e-03 2.029 0.0442 *
## var.wedE -2.923e-04 2.924e-03 -0.100 0.9205
## var.thuE -3.814e-03 2.826e-03 -1.350 0.1792
## var.friE 1.786e-03 2.771e-03 0.645 0.5202
## var.satE -3.992e-03 2.917e-03 -1.368 0.1732
## var.container -9.782e-05 2.563e-03 -0.038 0.9696
## var.liquors 6.219e-04 8.277e-04 0.751 0.4537
## var.sales 1.336e-05 8.976e-06 1.489 0.1387
## var.halfs -2.354e-04 4.480e-04 -0.525 0.6001
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 0.01559 on 148 degrees of freedom
## Multiple R-squared: 0.09039, Adjusted R-squared: 0.01664
## F-statistic: 1.226 on 12 and 148 DF, p-value: 0.2707
##
##
## Response liquid_waste_p_kg :
##
## Call:
## lm(formula = liquid_waste_p_kg ~ var., data = .)
##
## Residuals:
## Min 1Q Median 3Q Max
## -0.04658 -0.01829 -0.00111 0.01530 0.07904
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) 1.935e-02 1.875e-02 1.032 0.303893
## var.temp_c 1.867e-04 2.328e-04 0.802 0.423722
## var.humi_p 8.918e-05 1.972e-04 0.452 0.651806
## var.prcp_mm -1.098e-03 1.062e-03 -1.034 0.302856
## var.tueE -4.951e-04 4.977e-03 -0.099 0.920881
## var.wedE -5.851e-03 4.953e-03 -1.181 0.239422
## var.thuE -4.084e-03 4.787e-03 -0.853 0.394946
## var.friE 7.047e-03 4.695e-03 1.501 0.135461
## var.satE -6.512e-03 4.942e-03 -1.318 0.189633
## var.container 1.542e-02 4.343e-03 3.551 0.000515 ***
## var.liquors 1.323e-03 1.402e-03 0.943 0.347015
## var.sales 2.139e-05 1.521e-05 1.406 0.161732
## var.halfs 9.026e-04 7.591e-04 1.189 0.236315
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 0.02641 on 148 degrees of freedom
## Multiple R-squared: 0.209, Adjusted R-squared: 0.1449
## F-statistic: 3.26 on 12 and 148 DF, p-value: 0.0003427Per Customer Coefficients Visualization
Scatter plot
Food waste plots
## per Customer
Per Customer RDiT Model
Interaction
##
## Call:
## lm(formula = rdt_int_fw_p, data = .)
##
## Residuals:
## Min 1Q Median 3Q Max
## -0.085830 -0.026913 -0.000256 0.022668 0.144070
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) 0.0634025 0.0084860 7.471 5.19e-12 ***
## container 0.0205965 0.0123107 1.673 0.0963 .
## time -0.0002550 0.0001694 -1.505 0.1344
## container:time 0.0002948 0.0002683 1.099 0.2736
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 0.03901 on 157 degrees of freedom
## Multiple R-squared: 0.03369, Adjusted R-squared: 0.01523
## F-statistic: 1.825 on 3 and 157 DF, p-value: 0.1449##
## Call:
## lm(formula = rdt_int_sfw_p, data = .)
##
## Residuals:
## Min 1Q Median 3Q Max
## -0.025637 -0.009649 -0.001998 0.007429 0.107324
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) 2.413e-02 3.438e-03 7.018 6.35e-11 ***
## container 6.087e-04 4.988e-03 0.122 0.903
## time -6.278e-05 6.865e-05 -0.914 0.362
## container:time 7.849e-05 1.087e-04 0.722 0.471
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 0.0158 on 157 degrees of freedom
## Multiple R-squared: 0.00791, Adjusted R-squared: -0.01105
## F-statistic: 0.4173 on 3 and 157 DF, p-value: 0.7408##
## Call:
## lm(formula = rdt_int_lfw_p, data = .)
##
## Residuals:
## Min 1Q Median 3Q Max
## -0.060368 -0.021770 0.000354 0.019225 0.067531
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) 0.0392726 0.0060700 6.470 1.19e-09 ***
## container 0.0199878 0.0088058 2.270 0.0246 *
## time -0.0001922 0.0001212 -1.586 0.1148
## container:time 0.0002163 0.0001919 1.127 0.2615
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 0.0279 on 157 degrees of freedom
## Multiple R-squared: 0.06328, Adjusted R-squared: 0.04538
## F-statistic: 3.535 on 3 and 157 DF, p-value: 0.01621Ass-Interaction
- Linearity of the relationships between the dependent and independent variables
- Normality of the residuals
- Homoscedasticity of the residuals
- No influential points (outliers)
- No multicollinearity
- Independence of the observations
## OK: Error variance appears to be homoscedastic (p = 0.560).## OK: Error variance appears to be homoscedastic (p = 0.085).## OK: Error variance appears to be homoscedastic (p = 0.357).## OK: residuals appear as normally distributed (p = 0.310).## Warning: Non-normality of residuals detected (p < .001).## OK: residuals appear as normally distributed (p = 0.506).##
## studentized Breusch-Pagan test
##
## data: rdt_int_fw_p
## BP = 0.39927, df = 3, p-value = 0.9404##
## studentized Breusch-Pagan test
##
## data: rdt_int_sfw_p
## BP = 0.78557, df = 3, p-value = 0.8529##
## studentized Breusch-Pagan test
##
## data: rdt_int_lfw_p
## BP = 1.5608, df = 3, p-value = 0.6683## OK: Residuals appear to be independent and not autocorrelated (p = 0.658).## OK: Residuals appear to be independent and not autocorrelated (p = 0.810).## OK: Residuals appear to be independent and not autocorrelated (p = 0.596).
Multiple model
##
## Call:
## lm(formula = rdt_multi_fw_p, data = .)
##
## Residuals:
## Min 1Q Median 3Q Max
## -0.072101 -0.025127 -0.002875 0.021863 0.143927
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) 2.660e-02 3.639e-02 0.731 0.4659
## container 2.407e-02 1.377e-02 1.748 0.0826 .
## time -1.939e-04 2.477e-04 -0.783 0.4351
## temp_c -1.276e-04 4.770e-04 -0.267 0.7895
## humi_p 1.038e-04 3.522e-04 0.295 0.7686
## prcp_mm -1.816e-03 1.523e-03 -1.192 0.2350
## tueE 5.051e-03 7.111e-03 0.710 0.4786
## wedE -6.214e-03 7.058e-03 -0.880 0.3801
## thuE -7.499e-03 6.849e-03 -1.095 0.2753
## friE 9.197e-03 6.710e-03 1.371 0.1726
## satE -1.057e-02 7.043e-03 -1.500 0.1357
## liquors 2.100e-03 2.007e-03 1.046 0.2972
## sales 3.340e-05 2.176e-05 1.535 0.1269
## halfs 7.956e-04 1.102e-03 0.722 0.4713
## container:time 1.712e-04 3.772e-04 0.454 0.6505
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 0.03762 on 146 degrees of freedom
## Multiple R-squared: 0.164, Adjusted R-squared: 0.08388
## F-statistic: 2.046 on 14 and 146 DF, p-value: 0.01809##
## Call:
## lm(formula = rdt_multi_sfw_p, data = .)
##
## Residuals:
## Min 1Q Median 3Q Max
## -0.027746 -0.009421 -0.001271 0.007188 0.099959
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) 1.814e-02 1.514e-02 1.198 0.2328
## container 4.031e-03 5.730e-03 0.704 0.4829
## time -6.248e-05 1.031e-04 -0.606 0.5454
## temp_c -1.325e-04 1.985e-04 -0.667 0.5056
## humi_p -4.745e-05 1.466e-04 -0.324 0.7466
## prcp_mm -7.615e-04 6.338e-04 -1.201 0.2315
## tueE 5.830e-03 2.959e-03 1.970 0.0507 .
## wedE -3.105e-04 2.937e-03 -0.106 0.9160
## thuE -3.720e-03 2.850e-03 -1.305 0.1939
## friE 1.964e-03 2.792e-03 0.703 0.4831
## satE -3.993e-03 2.931e-03 -1.362 0.1752
## liquors 6.823e-04 8.353e-04 0.817 0.4154
## sales 1.301e-05 9.054e-06 1.437 0.1528
## halfs -2.071e-04 4.584e-04 -0.452 0.6520
## container:time 1.911e-05 1.570e-04 0.122 0.9032
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 0.01566 on 146 degrees of freedom
## Multiple R-squared: 0.09445, Adjusted R-squared: 0.007612
## F-statistic: 1.088 on 14 and 146 DF, p-value: 0.3734##
## Call:
## lm(formula = rdt_multi_lfw_p, data = .)
##
## Residuals:
## Min 1Q Median 3Q Max
## -0.04632 -0.01854 -0.00070 0.01527 0.08045
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) 8.457e-03 2.566e-02 0.330 0.7422
## container 2.004e-02 9.712e-03 2.063 0.0409 *
## time -1.314e-04 1.747e-04 -0.752 0.4532
## temp_c 4.903e-06 3.364e-04 0.015 0.9884
## humi_p 1.512e-04 2.484e-04 0.609 0.5436
## prcp_mm -1.054e-03 1.074e-03 -0.982 0.3279
## tueE -7.794e-04 5.015e-03 -0.155 0.8767
## wedE -5.904e-03 4.978e-03 -1.186 0.2376
## thuE -3.779e-03 4.831e-03 -0.782 0.4353
## friE 7.233e-03 4.732e-03 1.528 0.1286
## satE -6.574e-03 4.968e-03 -1.323 0.1878
## liquors 1.418e-03 1.416e-03 1.001 0.3182
## sales 2.039e-05 1.534e-05 1.329 0.1860
## halfs 1.003e-03 7.769e-04 1.291 0.1989
## container:time 1.521e-04 2.660e-04 0.572 0.5683
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 0.02653 on 146 degrees of freedom
## Multiple R-squared: 0.2121, Adjusted R-squared: 0.1365
## F-statistic: 2.807 on 14 and 146 DF, p-value: 0.0009764Ass-Multiple
- Linearity of the relationships between the dependent and independent variables
- Normality of the residuals
- Homoscedasticity of the residuals
- No influential points (outliers)
- No multicollinearity
- Independence of the observations
## OK: Error variance appears to be homoscedastic (p = 0.162).## Warning: Heteroscedasticity (non-constant error variance) detected (p < .001).## OK: Error variance appears to be homoscedastic (p = 0.502).## Warning: Non-normality of residuals detected (p = 0.007).## Warning: Non-normality of residuals detected (p < .001).## OK: residuals appear as normally distributed (p = 0.051).##
## studentized Breusch-Pagan test
##
## data: rdt_multi_fw_p
## BP = 19.644, df = 14, p-value = 0.1418##
## studentized Breusch-Pagan test
##
## data: rdt_multi_sfw_p
## BP = 13.384, df = 14, p-value = 0.4965##
## studentized Breusch-Pagan test
##
## data: rdt_multi_lfw_p
## BP = 22.99, df = 14, p-value = 0.06044## OK: Residuals appear to be independent and not autocorrelated (p = 0.916).## OK: Residuals appear to be independent and not autocorrelated (p = 0.918).## OK: Residuals appear to be independent and not autocorrelated (p = 0.966).
Quadratic model
##
## Call:
## lm(formula = rdt_poly_fw_p, data = .)
##
## Residuals:
## Min 1Q Median 3Q Max
## -0.075784 -0.024038 -0.004693 0.022090 0.143015
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) 2.126e-02 3.914e-02 0.543 0.588
## container 1.627e-02 1.956e-02 0.832 0.407
## time -3.785e-04 7.018e-04 -0.539 0.591
## I(time^2) -2.444e-06 7.590e-06 -0.322 0.748
## tueE 5.662e-03 7.157e-03 0.791 0.430
## wedE -5.892e-03 7.087e-03 -0.831 0.407
## thuE -7.233e-03 6.881e-03 -1.051 0.295
## friE 9.309e-03 6.737e-03 1.382 0.169
## satE -1.116e-02 7.088e-03 -1.574 0.118
## temp_c -6.843e-05 4.818e-04 -0.142 0.887
## humi_p 1.319e-04 3.566e-04 0.370 0.712
## prcp_mm -2.151e-03 1.561e-03 -1.378 0.170
## liquors 2.183e-03 2.016e-03 1.083 0.281
## sales 3.543e-05 2.195e-05 1.614 0.109
## halfs 7.890e-04 1.111e-03 0.710 0.479
## container:time 1.176e-03 1.107e-03 1.062 0.290
## container:I(time^2) -8.586e-06 1.299e-05 -0.661 0.510
##
## Residual standard error: 0.03773 on 144 degrees of freedom
## Multiple R-squared: 0.1705, Adjusted R-squared: 0.07835
## F-statistic: 1.85 on 16 and 144 DF, p-value: 0.02995##
## Call:
## lm(formula = rdt_poly_sfw_p, data = .)
##
## Residuals:
## Min 1Q Median 3Q Max
## -0.028366 -0.009439 -0.001808 0.007616 0.097711
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) 9.961e-03 1.622e-02 0.614 0.5400
## container 5.805e-03 8.106e-03 0.716 0.4751
## time -4.231e-04 2.908e-04 -1.455 0.1478
## I(time^2) -4.268e-06 3.145e-06 -1.357 0.1769
## tueE 6.034e-03 2.965e-03 2.035 0.0437 *
## wedE -2.115e-04 2.936e-03 -0.072 0.9427
## thuE -3.469e-03 2.851e-03 -1.217 0.2258
## friE 2.139e-03 2.791e-03 0.766 0.4447
## satE -4.316e-03 2.937e-03 -1.470 0.1439
## temp_c -1.111e-04 1.996e-04 -0.557 0.5786
## humi_p -1.691e-05 1.478e-04 -0.114 0.9091
## prcp_mm -9.357e-04 6.468e-04 -1.447 0.1502
## liquors 7.561e-04 8.355e-04 0.905 0.3670
## sales 1.452e-05 9.095e-06 1.596 0.1126
## halfs -2.637e-04 4.605e-04 -0.573 0.5678
## container:time 6.496e-04 4.587e-04 1.416 0.1589
## container:I(time^2) 7.259e-07 5.382e-06 0.135 0.8929
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 0.01564 on 144 degrees of freedom
## Multiple R-squared: 0.1093, Adjusted R-squared: 0.0103
## F-statistic: 1.104 on 16 and 144 DF, p-value: 0.3566##
## Call:
## lm(formula = rdt_poly_lfw_p, data = .)
##
## Residuals:
## Min 1Q Median 3Q Max
## -0.047637 -0.017604 -0.002375 0.018056 0.078992
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) 1.130e-02 2.761e-02 0.409 0.683
## container 1.047e-02 1.380e-02 0.759 0.449
## time 4.463e-05 4.950e-04 0.090 0.928
## I(time^2) 1.824e-06 5.354e-06 0.341 0.734
## tueE -3.722e-04 5.048e-03 -0.074 0.941
## wedE -5.680e-03 4.999e-03 -1.136 0.258
## thuE -3.764e-03 4.854e-03 -0.776 0.439
## friE 7.170e-03 4.752e-03 1.509 0.134
## satE -6.840e-03 4.999e-03 -1.368 0.173
## temp_c 4.269e-05 3.398e-04 0.126 0.900
## humi_p 1.488e-04 2.516e-04 0.592 0.555
## prcp_mm -1.215e-03 1.101e-03 -1.104 0.272
## liquors 1.427e-03 1.422e-03 1.003 0.317
## sales 2.091e-05 1.548e-05 1.351 0.179
## halfs 1.053e-03 7.840e-04 1.343 0.181
## container:time 5.266e-04 7.809e-04 0.674 0.501
## container:I(time^2) -9.311e-06 9.162e-06 -1.016 0.311
##
## Residual standard error: 0.02662 on 144 degrees of freedom
## Multiple R-squared: 0.2181, Adjusted R-squared: 0.1312
## F-statistic: 2.51 on 16 and 144 DF, p-value: 0.002032Ass-Poly
- Linearity of the relationships between the dependent and independent variables
- Normality of the residuals
- Homoscedasticity of the residuals
- No influential points (outliers)
- No multicollinearity
- Independence of the observations
## OK: Error variance appears to be homoscedastic (p = 0.205).## Warning: Heteroscedasticity (non-constant error variance) detected (p < .001).## OK: Error variance appears to be homoscedastic (p = 0.347).## Warning: Non-normality of residuals detected (p = 0.010).## Warning: Non-normality of residuals detected (p < .001).## Warning: Non-normality of residuals detected (p = 0.031).##
## studentized Breusch-Pagan test
##
## data: rdt_poly_fw_p
## BP = 22.633, df = 16, p-value = 0.1239##
## studentized Breusch-Pagan test
##
## data: rdt_poly_sfw_p
## BP = 14.63, df = 16, p-value = 0.5519##
## studentized Breusch-Pagan test
##
## data: rdt_poly_lfw_p
## BP = 25.091, df = 16, p-value = 0.06823## OK: Residuals appear to be independent and not autocorrelated (p = 0.856).## OK: Residuals appear to be independent and not autocorrelated (p = 0.994).## OK: Residuals appear to be independent and not autocorrelated (p = 0.970).
Cubic model
##
## Call:
## lm(formula = rdt_poly3_fw_p, data = .)
##
## Residuals:
## Min 1Q Median 3Q Max
## -0.075520 -0.024226 -0.004963 0.022584 0.143894
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) 9.024e-03 3.975e-02 0.227 0.8207
## container 3.122e-02 2.404e-02 1.298 0.1962
## time -3.086e-03 1.753e-03 -1.761 0.0805 .
## I(time^2) -8.230e-05 4.819e-05 -1.708 0.0898 .
## I(time^3) -6.122e-07 3.647e-07 -1.679 0.0954 .
## temp_c 1.379e-04 5.181e-04 0.266 0.7905
## humi_p 7.087e-05 3.587e-04 0.198 0.8436
## prcp_mm -2.587e-03 1.579e-03 -1.638 0.1036
## tueE 6.553e-03 7.154e-03 0.916 0.3612
## wedE -5.454e-03 7.071e-03 -0.771 0.4418
## thuE -6.963e-03 6.862e-03 -1.015 0.3120
## friE 8.961e-03 6.720e-03 1.333 0.1845
## satE -1.098e-02 7.072e-03 -1.552 0.1228
## liquors 1.762e-03 2.026e-03 0.870 0.3859
## sales 3.614e-05 2.191e-05 1.649 0.1013
## halfs 1.003e-03 1.116e-03 0.899 0.3703
## container:time 4.270e-03 2.679e-03 1.594 0.1132
## container:I(time^2) 5.948e-05 8.195e-05 0.726 0.4692
## container:I(time^3) 7.061e-07 6.606e-07 1.069 0.2869
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 0.03762 on 142 degrees of freedom
## Multiple R-squared: 0.187, Adjusted R-squared: 0.084
## F-statistic: 1.815 on 18 and 142 DF, p-value: 0.02867##
## Call:
## lm(formula = rdt_poly3_sfw_p, data = .)
##
## Residuals:
## Min 1Q Median 3Q Max
## -0.028278 -0.009977 -0.001132 0.007785 0.098181
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) 4.344e-03 1.643e-02 0.264 0.7918
## container 1.316e-02 9.936e-03 1.324 0.1876
## time -1.692e-03 7.243e-04 -2.337 0.0209 *
## I(time^2) -4.175e-05 1.991e-05 -2.097 0.0378 *
## I(time^3) -2.873e-07 1.507e-07 -1.907 0.0586 .
## temp_c -9.640e-06 2.141e-04 -0.045 0.9642
## humi_p -4.643e-05 1.482e-04 -0.313 0.7546
## prcp_mm -1.136e-03 6.525e-04 -1.741 0.0838 .
## tueE 6.450e-03 2.956e-03 2.182 0.0308 *
## wedE -2.273e-06 2.922e-03 -0.001 0.9994
## thuE -3.343e-03 2.836e-03 -1.179 0.2404
## friE 1.981e-03 2.777e-03 0.713 0.4768
## satE -4.243e-03 2.922e-03 -1.452 0.1488
## liquors 5.621e-04 8.373e-04 0.671 0.5031
## sales 1.488e-05 9.054e-06 1.644 0.1024
## halfs -1.655e-04 4.613e-04 -0.359 0.7202
## container:time 2.035e-03 1.107e-03 1.838 0.0682 .
## container:I(time^2) 3.491e-05 3.386e-05 1.031 0.3043
## container:I(time^3) 3.111e-07 2.730e-07 1.140 0.2563
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 0.01554 on 142 degrees of freedom
## Multiple R-squared: 0.1318, Adjusted R-squared: 0.02172
## F-statistic: 1.197 on 18 and 142 DF, p-value: 0.2709##
## Call:
## lm(formula = rdt_poly3_lfw_p, data = .)
##
## Residuals:
## Min 1Q Median 3Q Max
## -0.047242 -0.017433 -0.003693 0.018696 0.077431
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) 4.680e-03 2.816e-02 0.166 0.868
## container 1.806e-02 1.703e-02 1.061 0.291
## time -1.394e-03 1.242e-03 -1.122 0.264
## I(time^2) -4.055e-05 3.414e-05 -1.188 0.237
## I(time^3) -3.249e-07 2.583e-07 -1.258 0.211
## temp_c 1.476e-04 3.671e-04 0.402 0.688
## humi_p 1.173e-04 2.541e-04 0.462 0.645
## prcp_mm -1.451e-03 1.119e-03 -1.297 0.197
## tueE 1.030e-04 5.068e-03 0.020 0.984
## wedE -5.451e-03 5.009e-03 -1.088 0.278
## thuE -3.620e-03 4.861e-03 -0.745 0.458
## friE 6.980e-03 4.761e-03 1.466 0.145
## satE -6.735e-03 5.010e-03 -1.344 0.181
## liquors 1.200e-03 1.435e-03 0.836 0.404
## sales 2.125e-05 1.552e-05 1.369 0.173
## halfs 1.169e-03 7.908e-04 1.478 0.142
## container:time 2.235e-03 1.898e-03 1.178 0.241
## container:I(time^2) 2.457e-05 5.806e-05 0.423 0.673
## container:I(time^3) 3.950e-07 4.680e-07 0.844 0.400
##
## Residual standard error: 0.02665 on 142 degrees of freedom
## Multiple R-squared: 0.227, Adjusted R-squared: 0.1291
## F-statistic: 2.317 on 18 and 142 DF, p-value: 0.003261Quartic model
##
## Call:
## lm(formula = rdt_poly4_fw_p, data = .)
##
## Residuals:
## Min 1Q Median 3Q Max
## -0.075564 -0.024352 -0.005774 0.020979 0.141212
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) 1.818e-02 4.389e-02 0.414 0.6793
## container 2.367e-02 3.002e-02 0.788 0.4318
## time -1.536e-03 3.531e-03 -0.435 0.6641
## I(time^2) -2.986e-06 1.639e-04 -0.018 0.9855
## I(time^3) 8.122e-07 2.837e-06 0.286 0.7751
## I(time^4) 8.238e-09 1.628e-08 0.506 0.6135
## temp_c 1.561e-04 5.236e-04 0.298 0.7661
## humi_p 4.008e-05 3.659e-04 0.110 0.9129
## prcp_mm -2.633e-03 1.595e-03 -1.651 0.1010
## tueE 6.883e-03 7.228e-03 0.952 0.3426
## wedE -5.223e-03 7.130e-03 -0.733 0.4651
## thuE -6.904e-03 6.905e-03 -1.000 0.3192
## friE 8.834e-03 6.767e-03 1.305 0.1939
## satE -1.128e-02 7.142e-03 -1.580 0.1165
## liquors 1.782e-03 2.044e-03 0.872 0.3847
## sales 3.722e-05 2.216e-05 1.680 0.0952 .
## halfs 9.921e-04 1.124e-03 0.883 0.3788
## container:time 2.885e-03 5.282e-03 0.546 0.5858
## container:I(time^2) -3.064e-05 2.712e-04 -0.113 0.9102
## container:I(time^3) -4.873e-07 5.232e-06 -0.093 0.9259
## container:I(time^4) -9.839e-09 3.345e-08 -0.294 0.7691
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 0.03785 on 140 degrees of freedom
## Multiple R-squared: 0.1886, Adjusted R-squared: 0.07263
## F-statistic: 1.627 on 20 and 140 DF, p-value: 0.0542##
## Call:
## lm(formula = rdt_poly4_sfw_p, data = .)
##
## Residuals:
## Min 1Q Median 3Q Max
## -0.027203 -0.009031 -0.001323 0.006171 0.094325
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) 1.714e-02 1.791e-02 0.957 0.3401
## container -7.359e-04 1.225e-02 -0.060 0.9522
## time 4.660e-04 1.441e-03 0.323 0.7469
## I(time^2) 6.862e-05 6.690e-05 1.026 0.3068
## I(time^3) 1.692e-06 1.158e-06 1.461 0.1461
## I(time^4) 1.144e-08 6.642e-09 1.722 0.0872 .
## temp_c 7.181e-06 2.136e-04 0.034 0.9732
## humi_p -9.238e-05 1.493e-04 -0.619 0.5371
## prcp_mm -1.171e-03 6.510e-04 -1.799 0.0742 .
## tueE 6.950e-03 2.949e-03 2.356 0.0198 *
## wedE 3.689e-04 2.910e-03 0.127 0.8993
## thuE -3.245e-03 2.818e-03 -1.151 0.2515
## friE 1.831e-03 2.762e-03 0.663 0.5085
## satE -4.731e-03 2.915e-03 -1.623 0.1068
## liquors 5.508e-04 8.339e-04 0.660 0.5100
## sales 1.665e-05 9.043e-06 1.842 0.0677 .
## halfs -1.877e-04 4.585e-04 -0.409 0.6830
## container:time 1.100e-03 2.155e-03 0.511 0.6105
## container:I(time^2) -1.520e-04 1.107e-04 -1.374 0.1718
## container:I(time^3) -4.991e-08 2.135e-06 -0.023 0.9814
## container:I(time^4) -2.241e-08 1.365e-08 -1.642 0.1028
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 0.01545 on 140 degrees of freedom
## Multiple R-squared: 0.1549, Adjusted R-squared: 0.03412
## F-statistic: 1.283 on 20 and 140 DF, p-value: 0.2003##
## Call:
## lm(formula = rdt_poly4_lfw_p, data = .)
##
## Residuals:
## Min 1Q Median 3Q Max
## -0.048361 -0.018359 -0.002681 0.017483 0.078281
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) 1.041e-03 3.109e-02 0.033 0.973
## container 2.440e-02 2.127e-02 1.148 0.253
## time -2.002e-03 2.501e-03 -0.801 0.425
## I(time^2) -7.161e-05 1.161e-04 -0.617 0.538
## I(time^3) -8.799e-07 2.010e-06 -0.438 0.662
## I(time^4) -3.200e-09 1.153e-08 -0.278 0.782
## temp_c 1.489e-04 3.709e-04 0.401 0.689
## humi_p 1.325e-04 2.592e-04 0.511 0.610
## prcp_mm -1.462e-03 1.130e-03 -1.294 0.198
## tueE -6.668e-05 5.120e-03 -0.013 0.990
## wedE -5.592e-03 5.051e-03 -1.107 0.270
## thuE -3.659e-03 4.891e-03 -0.748 0.456
## friE 7.003e-03 4.794e-03 1.461 0.146
## satE -6.552e-03 5.059e-03 -1.295 0.197
## liquors 1.231e-03 1.448e-03 0.851 0.396
## sales 2.057e-05 1.570e-05 1.311 0.192
## halfs 1.180e-03 7.959e-04 1.482 0.140
## container:time 1.785e-03 3.741e-03 0.477 0.634
## container:I(time^2) 1.214e-04 1.921e-04 0.632 0.529
## container:I(time^3) -4.374e-07 3.706e-06 -0.118 0.906
## container:I(time^4) 1.258e-08 2.370e-08 0.531 0.596
##
## Residual standard error: 0.02681 on 140 degrees of freedom
## Multiple R-squared: 0.2286, Adjusted R-squared: 0.1184
## F-statistic: 2.074 on 20 and 140 DF, p-value: 0.007489Some model
##
## Call:
## lm(formula = rdt_sales, data = .)
##
## Residuals:
## Min 1Q Median 3Q Max
## -464.65 -156.75 -7.94 132.75 452.58
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) 653.2167 45.3342 14.409 <2e-16 ***
## container -21.1864 65.7665 -0.322 0.7478
## time -2.1632 0.9051 -2.390 0.0180 *
## container:time 3.0966 1.4334 2.160 0.0323 *
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 208.4 on 157 degrees of freedom
## Multiple R-squared: 0.07338, Adjusted R-squared: 0.05568
## F-statistic: 4.145 on 3 and 157 DF, p-value: 0.00737##
## Call:
## lm(formula = rdt_sales_mult, data = .)
##
## Residuals:
## Min 1Q Median 3Q Max
## -400.38 -104.13 -9.09 93.36 439.38
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) 382.140 147.670 2.588 0.0106 *
## container -31.487 58.605 -0.537 0.5919
## time -1.011 1.049 -0.964 0.3367
## temp_c 2.704 2.011 1.345 0.1807
## humi_p 1.429 1.481 0.965 0.3362
## prcp_mm -5.455 6.451 -0.846 0.3991
## liquors 43.158 7.347 5.874 2.59e-08 ***
## halfs 28.934 4.069 7.110 4.23e-11 ***
## container:time 1.546 1.601 0.966 0.3357
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 160.9 on 152 degrees of freedom
## Multiple R-squared: 0.4648, Adjusted R-squared: 0.4366
## F-statistic: 16.5 on 8 and 152 DF, p-value: < 2.2e-16##
## Call:
## lm(formula = rdt_sales, data = .)
##
## Residuals:
## Min 1Q Median 3Q Max
## -398.79 -101.98 -7.22 94.60 437.60
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) 441.27206 157.99058 2.793 0.0059 **
## container -63.00940 83.19361 -0.757 0.4500
## time 1.96129 2.97708 0.659 0.5110
## I(time^2) 0.03465 0.03220 1.076 0.2837
## temp_c 2.57848 2.03385 1.268 0.2068
## humi_p 1.20252 1.49982 0.802 0.4239
## prcp_mm -4.47457 6.61600 -0.676 0.4999
## liquors 42.38676 7.40288 5.726 5.44e-08 ***
## halfs 29.22421 4.09386 7.139 3.77e-11 ***
## container:time -2.27212 4.68807 -0.485 0.6286
## container:I(time^2) -0.02417 0.05535 -0.437 0.6630
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 161.4 on 150 degrees of freedom
## Multiple R-squared: 0.4691, Adjusted R-squared: 0.4337
## F-statistic: 13.25 on 10 and 150 DF, p-value: < 2.2e-16Log-Linear RDiT Model
Interaction
##
## Call:
## lm(formula = rdt_int_fw_log, data = .)
##
## Residuals:
## Min 1Q Median 3Q Max
## -1.07089 -0.29053 0.07099 0.31294 0.92461
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) 0.899186 0.100117 8.981 7.9e-16 ***
## container 0.125174 0.145241 0.862 0.3901
## time -0.003624 0.001999 -1.813 0.0717 .
## container:time 0.004636 0.003166 1.464 0.1451
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 0.4602 on 157 degrees of freedom
## Multiple R-squared: 0.02157, Adjusted R-squared: 0.002876
## F-statistic: 1.154 on 3 and 157 DF, p-value: 0.3293##
## Call:
## lm(formula = rdt_int_sfw_log, data = .)
##
## Residuals:
## Min 1Q Median 3Q Max
## -0.49626 -0.17125 -0.02458 0.17911 0.84798
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) 0.456958 0.058104 7.864 5.59e-13 ***
## container -0.002367 0.084292 -0.028 0.978
## time -0.001638 0.001160 -1.412 0.160
## container:time 0.001864 0.001837 1.015 0.312
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 0.2671 on 157 degrees of freedom
## Multiple R-squared: 0.0273, Adjusted R-squared: 0.008717
## F-statistic: 1.469 on 3 and 157 DF, p-value: 0.2251##
## Call:
## lm(formula = rdt_int_lfw_log, data = .)
##
## Residuals:
## Min 1Q Median 3Q Max
## -0.86306 -0.32547 0.08476 0.29523 0.83820
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) 0.647578 0.089499 7.236 1.93e-11 ***
## container 0.172827 0.129837 1.331 0.1851
## time -0.003520 0.001787 -1.970 0.0506 .
## container:time 0.004447 0.002830 1.572 0.1181
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 0.4114 on 157 degrees of freedom
## Multiple R-squared: 0.02936, Adjusted R-squared: 0.01082
## F-statistic: 1.583 on 3 and 157 DF, p-value: 0.1956Ass-Interaction
- Linearity of the relationships between the dependent and independent variables
- Normality of the residuals
- Homoscedasticity of the residuals
- No influential points (outliers)
- No multicollinearity
- Independence of the observations
## OK: Error variance appears to be homoscedastic (p = 0.654).## OK: Error variance appears to be homoscedastic (p = 0.064).## OK: Error variance appears to be homoscedastic (p = 0.778).## Warning: Non-normality of residuals detected (p = 0.014).## Warning: Non-normality of residuals detected (p = 0.044).## Warning: Non-normality of residuals detected (p = 0.004).##
## studentized Breusch-Pagan test
##
## data: rdt_int_fw_log
## BP = 1.4669, df = 3, p-value = 0.6899##
## studentized Breusch-Pagan test
##
## data: rdt_int_sfw_log
## BP = 3.892, df = 3, p-value = 0.2734##
## studentized Breusch-Pagan test
##
## data: rdt_int_lfw_log
## BP = 2.2738, df = 3, p-value = 0.5176## OK: No outliers detected.
## - Based on the following method and threshold: cook (0.8).
## - For variable: (Whole model)## OK: No outliers detected.
## - Based on the following method and threshold: cook (0.8).
## - For variable: (Whole model)## OK: No outliers detected.
## - Based on the following method and threshold: cook (0.8).
## - For variable: (Whole model)## OK: Residuals appear to be independent and not autocorrelated (p = 0.672).## OK: Residuals appear to be independent and not autocorrelated (p = 0.688).## OK: Residuals appear to be independent and not autocorrelated (p = 0.602).
Multiple model
##
## Call:
## lm(formula = rdt_multi_fw_log, data = .)
##
## Residuals:
## Min 1Q Median 3Q Max
## -0.70381 -0.21143 -0.01368 0.21472 0.89566
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) -0.2025206 0.3094972 -0.654 0.51391
## container 0.1371993 0.1171206 1.171 0.24333
## time -0.0009055 0.0021069 -0.430 0.66799
## temp_c -0.0003912 0.0040574 -0.096 0.92332
## humi_p 0.0021214 0.0029957 0.708 0.47999
## prcp_mm -0.0197288 0.0129534 -1.523 0.12991
## tueE 0.0791179 0.0604806 1.308 0.19288
## wedE -0.0539749 0.0600338 -0.899 0.37009
## thuE -0.0914458 0.0582575 -1.570 0.11865
## friE 0.0253774 0.0570715 0.445 0.65722
## satE -0.0820893 0.0599080 -1.370 0.17271
## liquors 0.0099865 0.0170719 0.585 0.55947
## sales 0.0012110 0.0001851 6.544 9.5e-10 ***
## halfs 0.0311432 0.0093690 3.324 0.00112 **
## container:time 0.0011543 0.0032081 0.360 0.71952
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 0.32 on 146 degrees of freedom
## Multiple R-squared: 0.56, Adjusted R-squared: 0.5179
## F-statistic: 13.27 on 14 and 146 DF, p-value: < 2.2e-16##
## Call:
## lm(formula = rdt_multi_sfw_log, data = .)
##
## Residuals:
## Min 1Q Median 3Q Max
## -0.41365 -0.15187 -0.03471 0.12691 0.87801
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) -0.0830067 0.2039018 -0.407 0.6845
## container 0.0312116 0.0771610 0.405 0.6864
## time -0.0002954 0.0013880 -0.213 0.8318
## temp_c -0.0011196 0.0026731 -0.419 0.6759
## humi_p 0.0002079 0.0019736 0.105 0.9163
## prcp_mm -0.0109674 0.0085339 -1.285 0.2008
## tueE 0.0817078 0.0398456 2.051 0.0421 *
## wedE -0.0098532 0.0395513 -0.249 0.8036
## thuE -0.0723120 0.0383810 -1.884 0.0615 .
## friE 0.0170265 0.0375997 0.453 0.6513
## satE -0.0516432 0.0394684 -1.308 0.1928
## liquors 0.0066501 0.0112472 0.591 0.5553
## sales 0.0007099 0.0001219 5.823 3.54e-08 ***
## halfs 0.0096277 0.0061724 1.560 0.1210
## container:time -0.0003659 0.0021136 -0.173 0.8628
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 0.2108 on 146 degrees of freedom
## Multiple R-squared: 0.4364, Adjusted R-squared: 0.3823
## F-statistic: 8.074 on 14 and 146 DF, p-value: 1.421e-12##
## Call:
## lm(formula = rdt_multi_lfw_log, data = .)
##
## Residuals:
## Min 1Q Median 3Q Max
## -0.64161 -0.19503 0.00511 0.19954 0.72644
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) -0.3398374 0.2771014 -1.226 0.222022
## container 0.1723560 0.1048614 1.644 0.102399
## time -0.0012647 0.0018863 -0.670 0.503613
## temp_c -0.0002052 0.0036327 -0.056 0.955037
## humi_p 0.0023787 0.0026821 0.887 0.376597
## prcp_mm -0.0154073 0.0115976 -1.328 0.186087
## tueE 0.0226180 0.0541500 0.418 0.676785
## wedE -0.0570734 0.0537500 -1.062 0.290065
## thuE -0.0728029 0.0521596 -1.396 0.164902
## friE 0.0353672 0.0510977 0.692 0.489944
## satE -0.0588896 0.0536373 -1.098 0.274045
## liquors 0.0066489 0.0152849 0.435 0.664208
## sales 0.0010125 0.0001657 6.111 8.56e-09 ***
## halfs 0.0305461 0.0083883 3.642 0.000376 ***
## container:time 0.0018389 0.0028723 0.640 0.523038
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 0.2865 on 146 degrees of freedom
## Multiple R-squared: 0.5622, Adjusted R-squared: 0.5202
## F-statistic: 13.39 on 14 and 146 DF, p-value: < 2.2e-16Ass-Multiple
- Linearity of the relationships between the dependent and independent variables
- Normality of the residuals
- Homoscedasticity of the residuals
- No influential points (outliers)
- No multicollinearity
- Independence of the observations
## Warning: Heteroscedasticity (non-constant error variance) detected (p = 0.019).## OK: Error variance appears to be homoscedastic (p = 0.448).## OK: Error variance appears to be homoscedastic (p = 0.205).## OK: residuals appear as normally distributed (p = 0.831).## Warning: Non-normality of residuals detected (p < .001).## OK: residuals appear as normally distributed (p = 0.695).##
## studentized Breusch-Pagan test
##
## data: rdt_multi_fw_log
## BP = 20.433, df = 14, p-value = 0.1171##
## studentized Breusch-Pagan test
##
## data: rdt_multi_sfw_log
## BP = 12.468, df = 14, p-value = 0.5688##
## studentized Breusch-Pagan test
##
## data: rdt_multi_lfw_log
## BP = 12.443, df = 14, p-value = 0.5708## OK: Residuals appear to be independent and not autocorrelated (p = 0.676).## OK: Residuals appear to be independent and not autocorrelated (p = 0.564).## OK: Residuals appear to be independent and not autocorrelated (p = 0.596).
Quadratic model
##
## Call:
## lm(formula = rdt_poly_fw_log, data = .)
##
## Residuals:
## Min 1Q Median 3Q Max
## -0.69414 -0.21485 -0.01643 0.20846 0.86740
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) -3.143e-01 3.323e-01 -0.946 0.34584
## container 1.217e-01 1.661e-01 0.732 0.46514
## time -5.608e-03 5.959e-03 -0.941 0.34821
## I(time^2) -5.680e-05 6.445e-05 -0.881 0.37959
## tueE 8.403e-02 6.077e-02 1.383 0.16885
## wedE -5.148e-02 6.017e-02 -0.855 0.39370
## thuE -8.756e-02 5.843e-02 -1.498 0.13619
## friE 2.777e-02 5.720e-02 0.485 0.62812
## satE -8.818e-02 6.018e-02 -1.465 0.14505
## temp_c 1.016e-04 4.091e-03 0.025 0.98023
## humi_p 2.575e-03 3.028e-03 0.850 0.39655
## prcp_mm -2.309e-02 1.325e-02 -1.742 0.08362 .
## liquors 1.115e-02 1.712e-02 0.651 0.51593
## sales 1.236e-03 1.864e-04 6.633 6.2e-10 ***
## halfs 3.051e-02 9.438e-03 3.232 0.00152 **
## container:time 1.241e-02 9.400e-03 1.320 0.18895
## container:I(time^2) -3.033e-05 1.103e-04 -0.275 0.78368
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 0.3204 on 144 degrees of freedom
## Multiple R-squared: 0.5649, Adjusted R-squared: 0.5166
## F-statistic: 11.69 on 16 and 144 DF, p-value: < 2.2e-16##
## Call:
## lm(formula = rdt_poly_sfw_log, data = .)
##
## Residuals:
## Min 1Q Median 3Q Max
## -0.37382 -0.14580 -0.02945 0.12595 0.83578
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) -2.350e-01 2.169e-01 -1.084 0.2803
## container 7.135e-02 1.084e-01 0.658 0.5115
## time -7.037e-03 3.889e-03 -1.810 0.0724 .
## I(time^2) -7.958e-05 4.206e-05 -1.892 0.0605 .
## tueE 8.512e-02 3.966e-02 2.146 0.0335 *
## wedE -8.221e-03 3.927e-02 -0.209 0.8345
## thuE -6.772e-02 3.813e-02 -1.776 0.0778 .
## friE 2.029e-02 3.733e-02 0.544 0.5875
## satE -5.734e-02 3.927e-02 -1.460 0.1465
## temp_c -7.590e-04 2.670e-03 -0.284 0.7766
## humi_p 7.689e-04 1.976e-03 0.389 0.6978
## prcp_mm -1.403e-02 8.650e-03 -1.622 0.1071
## liquors 7.994e-03 1.117e-02 0.715 0.4755
## sales 7.370e-04 1.216e-04 6.060 1.13e-08 ***
## halfs 8.552e-03 6.159e-03 1.389 0.1671
## container:time 1.087e-02 6.134e-03 1.773 0.0784 .
## container:I(time^2) 2.076e-05 7.197e-05 0.288 0.7734
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 0.2091 on 144 degrees of freedom
## Multiple R-squared: 0.4532, Adjusted R-squared: 0.3924
## F-statistic: 7.458 on 16 and 144 DF, p-value: 1.713e-12##
## Call:
## lm(formula = rdt_poly_lfw_log, data = .)
##
## Residuals:
## Min 1Q Median 3Q Max
## -0.63819 -0.19662 0.00115 0.19553 0.73005
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) -3.425e-01 2.983e-01 -1.148 0.252852
## container 9.485e-02 1.491e-01 0.636 0.525707
## time -9.383e-04 5.349e-03 -0.175 0.860998
## I(time^2) 1.604e-06 5.785e-05 0.028 0.977924
## tueE 2.685e-02 5.455e-02 0.492 0.623250
## wedE -5.479e-02 5.401e-02 -1.014 0.312064
## thuE -7.183e-02 5.245e-02 -1.370 0.172951
## friE 3.540e-02 5.135e-02 0.689 0.491645
## satE -6.229e-02 5.402e-02 -1.153 0.250828
## temp_c 1.960e-04 3.672e-03 0.053 0.957513
## humi_p 2.460e-03 2.718e-03 0.905 0.367005
## prcp_mm -1.739e-02 1.190e-02 -1.462 0.145983
## liquors 6.977e-03 1.537e-02 0.454 0.650533
## sales 1.022e-03 1.673e-04 6.110 8.85e-09 ***
## halfs 3.079e-02 8.471e-03 3.635 0.000386 ***
## container:time 7.218e-03 8.438e-03 0.855 0.393773
## container:I(time^2) -7.877e-05 9.900e-05 -0.796 0.427521
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 0.2876 on 144 degrees of freedom
## Multiple R-squared: 0.5649, Adjusted R-squared: 0.5165
## F-statistic: 11.68 on 16 and 144 DF, p-value: < 2.2e-16Ass-Poly
- Linearity of the relationships between the dependent and independent variables
- Normality of the residuals
- Homoscedasticity of the residuals
- No influential points (outliers)
- No multicollinearity
- Independence of the observations
## Warning: Heteroscedasticity (non-constant error variance) detected (p = 0.013).## OK: Error variance appears to be homoscedastic (p = 0.434).## OK: Error variance appears to be homoscedastic (p = 0.117).## OK: residuals appear as normally distributed (p = 0.890).## Warning: Non-normality of residuals detected (p < .001).## OK: residuals appear as normally distributed (p = 0.613).##
## studentized Breusch-Pagan test
##
## data: rdt_poly_fw_log
## BP = 24.13, df = 16, p-value = 0.08671##
## studentized Breusch-Pagan test
##
## data: rdt_poly_sfw_log
## BP = 13.961, df = 16, p-value = 0.6016##
## studentized Breusch-Pagan test
##
## data: rdt_poly_lfw_log
## BP = 17.492, df = 16, p-value = 0.3545## OK: No outliers detected.
## - Based on the following method and threshold: cook (1).
## - For variable: (Whole model)## OK: No outliers detected.
## - Based on the following method and threshold: cook (1).
## - For variable: (Whole model)## OK: No outliers detected.
## - Based on the following method and threshold: cook (1).
## - For variable: (Whole model)## Model has interaction terms. VIFs might be inflated.
## You may check multicollinearity among predictors of a model without
## interaction terms.## # Check for Multicollinearity
##
## Low Correlation
##
## Term VIF VIF 95% CI Increased SE Tolerance Tolerance 95% CI
## tueE 1.87 [ 1.56, 2.33] 1.37 0.54 [0.43, 0.64]
## wedE 1.83 [ 1.54, 2.28] 1.35 0.55 [0.44, 0.65]
## thuE 1.66 [ 1.41, 2.07] 1.29 0.60 [0.48, 0.71]
## friE 1.65 [ 1.41, 2.06] 1.29 0.60 [0.49, 0.71]
## satE 1.80 [ 1.51, 2.24] 1.34 0.56 [0.45, 0.66]
## temp_c 2.34 [ 1.93, 2.95] 1.53 0.43 [0.34, 0.52]
## humi_p 2.01 [ 1.67, 2.52] 1.42 0.50 [0.40, 0.60]
## prcp_mm 1.25 [ 1.11, 1.57] 1.12 0.80 [0.64, 0.90]
## liquors 1.54 [ 1.32, 1.91] 1.24 0.65 [0.52, 0.76]
## sales 2.49 [ 2.04, 3.14] 1.58 0.40 [0.32, 0.49]
## halfs 1.48 [ 1.27, 1.83] 1.22 0.68 [0.55, 0.79]
##
## High Correlation
##
## Term VIF VIF 95% CI Increased SE Tolerance
## container 10.77 [ 8.34, 14.00] 3.28 0.09
## time 120.29 [91.79, 157.74] 10.97 8.31e-03
## I(time^2) 26.34 [20.20, 34.43] 5.13 0.04
## container:time 77.46 [59.16, 101.53] 8.80 0.01
## container:I(time^2) 40.40 [30.92, 52.89] 6.36 0.02
## Tolerance 95% CI
## [0.07, 0.12]
## [0.01, 0.01]
## [0.03, 0.05]
## [0.01, 0.02]
## [0.02, 0.03]## Model has interaction terms. VIFs might be inflated.
## You may check multicollinearity among predictors of a model without
## interaction terms.## # Check for Multicollinearity
##
## Low Correlation
##
## Term VIF VIF 95% CI Increased SE Tolerance Tolerance 95% CI
## tueE 1.87 [ 1.56, 2.33] 1.37 0.54 [0.43, 0.64]
## wedE 1.83 [ 1.54, 2.28] 1.35 0.55 [0.44, 0.65]
## thuE 1.66 [ 1.41, 2.07] 1.29 0.60 [0.48, 0.71]
## friE 1.65 [ 1.41, 2.06] 1.29 0.60 [0.49, 0.71]
## satE 1.80 [ 1.51, 2.24] 1.34 0.56 [0.45, 0.66]
## temp_c 2.34 [ 1.93, 2.95] 1.53 0.43 [0.34, 0.52]
## humi_p 2.01 [ 1.67, 2.52] 1.42 0.50 [0.40, 0.60]
## prcp_mm 1.25 [ 1.11, 1.57] 1.12 0.80 [0.64, 0.90]
## liquors 1.54 [ 1.32, 1.91] 1.24 0.65 [0.52, 0.76]
## sales 2.49 [ 2.04, 3.14] 1.58 0.40 [0.32, 0.49]
## halfs 1.48 [ 1.27, 1.83] 1.22 0.68 [0.55, 0.79]
##
## High Correlation
##
## Term VIF VIF 95% CI Increased SE Tolerance
## container 10.77 [ 8.34, 14.00] 3.28 0.09
## time 120.29 [91.79, 157.74] 10.97 8.31e-03
## I(time^2) 26.34 [20.20, 34.43] 5.13 0.04
## container:time 77.46 [59.16, 101.53] 8.80 0.01
## container:I(time^2) 40.40 [30.92, 52.89] 6.36 0.02
## Tolerance 95% CI
## [0.07, 0.12]
## [0.01, 0.01]
## [0.03, 0.05]
## [0.01, 0.02]
## [0.02, 0.03]## Model has interaction terms. VIFs might be inflated.
## You may check multicollinearity among predictors of a model without
## interaction terms.## # Check for Multicollinearity
##
## Low Correlation
##
## Term VIF VIF 95% CI Increased SE Tolerance Tolerance 95% CI
## tueE 1.87 [ 1.56, 2.33] 1.37 0.54 [0.43, 0.64]
## wedE 1.83 [ 1.54, 2.28] 1.35 0.55 [0.44, 0.65]
## thuE 1.66 [ 1.41, 2.07] 1.29 0.60 [0.48, 0.71]
## friE 1.65 [ 1.41, 2.06] 1.29 0.60 [0.49, 0.71]
## satE 1.80 [ 1.51, 2.24] 1.34 0.56 [0.45, 0.66]
## temp_c 2.34 [ 1.93, 2.95] 1.53 0.43 [0.34, 0.52]
## humi_p 2.01 [ 1.67, 2.52] 1.42 0.50 [0.40, 0.60]
## prcp_mm 1.25 [ 1.11, 1.57] 1.12 0.80 [0.64, 0.90]
## liquors 1.54 [ 1.32, 1.91] 1.24 0.65 [0.52, 0.76]
## sales 2.49 [ 2.04, 3.14] 1.58 0.40 [0.32, 0.49]
## halfs 1.48 [ 1.27, 1.83] 1.22 0.68 [0.55, 0.79]
##
## High Correlation
##
## Term VIF VIF 95% CI Increased SE Tolerance
## container 10.77 [ 8.34, 14.00] 3.28 0.09
## time 120.29 [91.79, 157.74] 10.97 8.31e-03
## I(time^2) 26.34 [20.20, 34.43] 5.13 0.04
## container:time 77.46 [59.16, 101.53] 8.80 0.01
## container:I(time^2) 40.40 [30.92, 52.89] 6.36 0.02
## Tolerance 95% CI
## [0.07, 0.12]
## [0.01, 0.01]
## [0.03, 0.05]
## [0.01, 0.02]
## [0.02, 0.03]## OK: Residuals appear to be independent and not autocorrelated (p = 0.642).## OK: Residuals appear to be independent and not autocorrelated (p = 0.750).## OK: Residuals appear to be independent and not autocorrelated (p = 0.606).
Cubic model
##
## Call:
## lm(formula = rdt_cub_fw_log, data = .)
##
## Residuals:
## Min 1Q Median 3Q Max
## -0.69603 -0.23190 -0.00395 0.20977 0.86734
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) -3.786e-01 3.398e-01 -1.114 0.26712
## container 1.663e-01 2.055e-01 0.809 0.41985
## time -1.801e-02 1.498e-02 -1.202 0.23140
## I(time^2) -4.194e-04 4.119e-04 -1.018 0.31032
## I(time^3) -2.782e-06 3.117e-06 -0.893 0.37362
## tueE 8.824e-02 6.115e-02 1.443 0.15121
## wedE -4.974e-02 6.044e-02 -0.823 0.41192
## thuE -8.627e-02 5.865e-02 -1.471 0.14356
## friE 2.585e-02 5.744e-02 0.450 0.65339
## satE -8.667e-02 6.045e-02 -1.434 0.15382
## temp_c 7.168e-04 4.429e-03 0.162 0.87165
## humi_p 2.358e-03 3.066e-03 0.769 0.44303
## prcp_mm -2.536e-02 1.350e-02 -1.879 0.06231 .
## liquors 9.002e-03 1.732e-02 0.520 0.60404
## sales 1.237e-03 1.873e-04 6.604 7.42e-10 ***
## halfs 3.164e-02 9.541e-03 3.317 0.00116 **
## container:time 3.111e-02 2.290e-02 1.359 0.17642
## container:I(time^2) 1.233e-04 7.005e-04 0.176 0.86048
## container:I(time^3) 4.615e-06 5.646e-06 0.817 0.41508
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 0.3216 on 142 degrees of freedom
## Multiple R-squared: 0.5679, Adjusted R-squared: 0.5132
## F-statistic: 10.37 on 18 and 142 DF, p-value: < 2.2e-16##
## Call:
## lm(formula = rdt_cub_sfw_log, data = .)
##
## Residuals:
## Min 1Q Median 3Q Max
## -0.38966 -0.14393 -0.02821 0.12109 0.83724
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) -2.812e-01 2.215e-01 -1.269 0.2064
## container 1.143e-01 1.340e-01 0.853 0.3949
## time -1.654e-02 9.769e-03 -1.693 0.0927 .
## I(time^2) -3.585e-04 2.686e-04 -1.335 0.1841
## I(time^3) -2.139e-06 2.032e-06 -1.053 0.2943
## tueE 8.830e-02 3.987e-02 2.215 0.0284 *
## wedE -6.790e-03 3.941e-02 -0.172 0.8634
## thuE -6.675e-02 3.824e-02 -1.746 0.0831 .
## friE 1.894e-02 3.745e-02 0.506 0.6138
## satE -5.644e-02 3.941e-02 -1.432 0.1543
## temp_c -1.657e-04 2.888e-03 -0.057 0.9543
## humi_p 5.796e-04 1.999e-03 0.290 0.7723
## prcp_mm -1.566e-02 8.801e-03 -1.780 0.0772 .
## liquors 6.430e-03 1.129e-02 0.569 0.5700
## sales 7.385e-04 1.221e-04 6.048 1.24e-08 ***
## halfs 9.366e-03 6.221e-03 1.506 0.1344
## container:time 2.353e-02 1.493e-02 1.576 0.1174
## container:I(time^2) 1.969e-04 4.567e-04 0.431 0.6670
## container:I(time^3) 3.025e-06 3.682e-06 0.822 0.4127
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 0.2097 on 142 degrees of freedom
## Multiple R-squared: 0.4578, Adjusted R-squared: 0.3891
## F-statistic: 6.662 on 18 and 142 DF, p-value: 7.678e-12##
## Call:
## lm(formula = rdt_cub_lfw_log, data = .)
##
## Residuals:
## Min 1Q Median 3Q Max
## -0.63393 -0.19327 -0.00731 0.19770 0.71861
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) -3.673e-01 3.058e-01 -1.201 0.231692
## container 9.555e-02 1.850e-01 0.517 0.606278
## time -4.851e-03 1.348e-02 -0.360 0.719603
## I(time^2) -1.110e-04 3.707e-04 -0.300 0.764982
## I(time^3) -8.657e-07 2.806e-06 -0.309 0.758107
## tueE 2.825e-02 5.504e-02 0.513 0.608519
## wedE -5.439e-02 5.440e-02 -1.000 0.319056
## thuE -7.139e-02 5.279e-02 -1.352 0.178412
## friE 3.461e-02 5.170e-02 0.670 0.504253
## satE -6.142e-02 5.441e-02 -1.129 0.260853
## temp_c 2.051e-04 3.986e-03 0.051 0.959033
## humi_p 2.427e-03 2.759e-03 0.879 0.380651
## prcp_mm -1.826e-02 1.215e-02 -1.503 0.135063
## liquors 6.175e-03 1.559e-02 0.396 0.692635
## sales 1.021e-03 1.686e-04 6.057 1.18e-08 ***
## halfs 3.124e-02 8.588e-03 3.638 0.000384 ***
## container:time 1.567e-02 2.061e-02 0.760 0.448497
## container:I(time^2) -1.190e-04 6.305e-04 -0.189 0.850623
## container:I(time^3) 2.231e-06 5.082e-06 0.439 0.661277
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 0.2894 on 142 degrees of freedom
## Multiple R-squared: 0.5655, Adjusted R-squared: 0.5104
## F-statistic: 10.27 on 18 and 142 DF, p-value: < 2.2e-16logged Scatter plot
logged Food waste plots
log-linear Local Regression
No interaction log RDiT - within month
##
## Call:
## lm(formula = log_food_waste_kg ~ container, data = .)
##
## Residuals:
## Min 1Q Median 3Q Max
## -0.94497 -0.28651 0.05364 0.33439 0.93193
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) 0.94497 0.09182 10.292 7.68e-14 ***
## container 0.08319 0.12860 0.647 0.521
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 0.4591 on 49 degrees of freedom
## Multiple R-squared: 0.008468, Adjusted R-squared: -0.01177
## F-statistic: 0.4185 on 1 and 49 DF, p-value: 0.5207##
## Call:
## lm(formula = log_solid_waste_kg ~ container, data = .)
##
## Residuals:
## Min 1Q Median 3Q Max
## -0.44841 -0.14830 -0.07685 0.16641 0.64767
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) 0.448409 0.048507 9.244 2.56e-12 ***
## container 0.002533 0.067936 0.037 0.97
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 0.2425 on 49 degrees of freedom
## Multiple R-squared: 2.836e-05, Adjusted R-squared: -0.02038
## F-statistic: 0.00139 on 1 and 49 DF, p-value: 0.9704##
## Call:
## lm(formula = log_liquid_waste_kg ~ container, data = .)
##
## Residuals:
## Min 1Q Median 3Q Max
## -0.77353 -0.30531 0.09397 0.30715 0.80692
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) 0.72440 0.08085 8.959 6.78e-12 ***
## container 0.09791 0.11324 0.865 0.391
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 0.4043 on 49 degrees of freedom
## Multiple R-squared: 0.01503, Adjusted R-squared: -0.005074
## F-statistic: 0.7476 on 1 and 49 DF, p-value: 0.3915Interaction - With in Month
##
## Call:
## lm(formula = log_food_waste_kg ~ container * time, data = .)
##
## Residuals:
## Min 1Q Median 3Q Max
## -0.98510 -0.28823 0.06287 0.34733 0.92676
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) 0.8975439 0.1929489 4.652 2.7e-05 ***
## container 0.1737246 0.2627721 0.661 0.512
## time -0.0036482 0.0129792 -0.281 0.780
## container:time 0.0001996 0.0178381 0.011 0.991
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 0.468 on 47 degrees of freedom
## Multiple R-squared: 0.0118, Adjusted R-squared: -0.05128
## F-statistic: 0.1871 on 3 and 47 DF, p-value: 0.9047##
## Call:
## lm(formula = log_solid_waste_kg ~ container * time, data = .)
##
## Residuals:
## Min 1Q Median 3Q Max
## -0.4677 -0.1351 -0.0628 0.1760 0.6442
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) 0.4255827 0.1018912 4.177 0.000127 ***
## container 0.0546537 0.1387630 0.394 0.695463
## time -0.0017559 0.0068539 -0.256 0.798928
## container:time -0.0005877 0.0094198 -0.062 0.950515
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 0.2471 on 47 degrees of freedom
## Multiple R-squared: 0.004206, Adjusted R-squared: -0.05936
## F-statistic: 0.06617 on 3 and 47 DF, p-value: 0.9776##
## Call:
## lm(formula = log_liquid_waste_kg ~ container * time, data = .)
##
## Residuals:
## Min 1Q Median 3Q Max
## -0.79605 -0.28692 0.07517 0.30556 0.80295
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) 0.6882743 0.1699780 4.049 0.000191 ***
## container 0.1671615 0.2314887 0.722 0.473801
## time -0.0027792 0.0114340 -0.243 0.809010
## container:time 0.0001296 0.0157145 0.008 0.993453
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 0.4123 on 47 degrees of freedom
## Multiple R-squared: 0.01753, Adjusted R-squared: -0.04519
## F-statistic: 0.2795 on 3 and 47 DF, p-value: 0.8399Interaction - b/w week and month
log-linear Multiple - month
##
## Call:
## lm(formula = log_food_waste_kg ~ container * time + temp_c +
## humi_p + prcp_mm + tueE + wedE + thuE + friE + satE + liquors +
## sales + halfs, data = .)
##
## Residuals:
## Min 1Q Median 3Q Max
## -0.51357 -0.16849 0.01946 0.12329 0.61325
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) 0.2988962 0.6895540 0.433 0.66726
## container 0.0751821 0.1844288 0.408 0.68595
## time -0.0035192 0.0090010 -0.391 0.69812
## temp_c 0.0069893 0.0076565 0.913 0.36739
## humi_p -0.0036874 0.0071753 -0.514 0.61047
## prcp_mm -0.0482459 0.0274499 -1.758 0.08732 .
## tueE 0.1637430 0.1050361 1.559 0.12776
## wedE 0.0131842 0.1098702 0.120 0.90515
## thuE -0.0631627 0.0994321 -0.635 0.52929
## friE 0.0006048 0.0987478 0.006 0.99515
## satE -0.1848926 0.1050318 -1.760 0.08684 .
## liquors 0.0040398 0.0296279 0.136 0.89230
## sales 0.0012807 0.0003682 3.478 0.00134 **
## halfs 0.0303484 0.0196676 1.543 0.13156
## container:time 0.0092436 0.0137591 0.672 0.50599
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 0.3018 on 36 degrees of freedom
## Multiple R-squared: 0.6852, Adjusted R-squared: 0.5627
## F-statistic: 5.596 on 14 and 36 DF, p-value: 1.496e-05##
## Call:
## lm(formula = log_solid_waste_kg ~ container * time + temp_c +
## humi_p + prcp_mm + tueE + wedE + thuE + friE + satE + liquors +
## sales + halfs, data = .)
##
## Residuals:
## Min 1Q Median 3Q Max
## -0.23587 -0.09713 -0.00118 0.07621 0.37761
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) 0.2503976 0.3792951 0.660 0.513350
## container 0.0017171 0.1014466 0.017 0.986589
## time -0.0009035 0.0049511 -0.182 0.856225
## temp_c 0.0076969 0.0042115 1.828 0.075913 .
## humi_p -0.0035071 0.0039469 -0.889 0.380123
## prcp_mm -0.0125956 0.0150991 -0.834 0.409673
## tueE 0.0361610 0.0577760 0.626 0.535340
## wedE 0.0311853 0.0604350 0.516 0.609000
## thuE -0.0499517 0.0546935 -0.913 0.367160
## friE 0.0180888 0.0543171 0.333 0.741050
## satE -0.0788150 0.0577736 -1.364 0.180972
## liquors 0.0058179 0.0162971 0.357 0.723185
## sales 0.0007934 0.0002025 3.918 0.000383 ***
## halfs 0.0044730 0.0108184 0.413 0.681720
## container:time 0.0012049 0.0075683 0.159 0.874395
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 0.166 on 36 degrees of freedom
## Multiple R-squared: 0.6558, Adjusted R-squared: 0.5219
## F-statistic: 4.899 on 14 and 36 DF, p-value: 5.863e-05##
## Call:
## lm(formula = log_liquid_waste_kg ~ container * time + temp_c +
## humi_p + prcp_mm + tueE + wedE + thuE + friE + satE + liquors +
## sales + halfs, data = .)
##
## Residuals:
## Min 1Q Median 3Q Max
## -0.52081 -0.14938 0.01322 0.14151 0.59771
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) -0.0146367 0.6279620 -0.023 0.98153
## container 0.0843277 0.1679554 0.502 0.61867
## time -0.0031940 0.0081970 -0.390 0.69909
## temp_c 0.0024800 0.0069726 0.356 0.72416
## humi_p -0.0006411 0.0065344 -0.098 0.92239
## prcp_mm -0.0486593 0.0249981 -1.947 0.05943 .
## tueE 0.1400310 0.0956541 1.464 0.15189
## wedE -0.0282689 0.1000564 -0.283 0.77916
## thuE -0.0598792 0.0905507 -0.661 0.51264
## friE 0.0087874 0.0899275 0.098 0.92270
## satE -0.1478034 0.0956502 -1.545 0.13103
## liquors 0.0050597 0.0269815 0.188 0.85230
## sales 0.0009589 0.0003353 2.860 0.00701 **
## halfs 0.0333015 0.0179109 1.859 0.07118 .
## container:time 0.0099003 0.0125301 0.790 0.43463
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 0.2749 on 36 degrees of freedom
## Multiple R-squared: 0.6655, Adjusted R-squared: 0.5354
## F-statistic: 5.116 on 14 and 36 DF, p-value: 3.793e-05log-linear Multi - b/w week and month
Quadratic - b/w week and month
Cubic - b/w week and month
Local Regression per Customer
No interaction per Customer RDiT - within month
##
## Call:
## lm(formula = food_waste_p_kg ~ container, data = .)
##
## Residuals:
## Min 1Q Median 3Q Max
## -0.071951 -0.021391 0.001999 0.021733 0.079921
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) 0.066985 0.007257 9.230 2.69e-12 ***
## container 0.016731 0.010164 1.646 0.106
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 0.03629 on 49 degrees of freedom
## Multiple R-squared: 0.0524, Adjusted R-squared: 0.03306
## F-statistic: 2.709 on 1 and 49 DF, p-value: 0.1062##
## Call:
## lm(formula = solid_waste_p_kg ~ container, data = .)
##
## Residuals:
## Min 1Q Median 3Q Max
## -0.022725 -0.006960 -0.002115 0.007308 0.025352
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) 0.022725 0.002242 10.135 1.29e-13 ***
## container 0.001804 0.003140 0.575 0.568
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 0.01121 on 49 degrees of freedom
## Multiple R-squared: 0.006691, Adjusted R-squared: -0.01358
## F-statistic: 0.3301 on 1 and 49 DF, p-value: 0.5682##
## Call:
## lm(formula = liquid_waste_p_kg ~ container, data = .)
##
## Residuals:
## Min 1Q Median 3Q Max
## -0.056246 -0.019655 0.000813 0.019476 0.068086
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) 0.044261 0.005547 7.979 2.06e-10 ***
## container 0.014926 0.007769 1.921 0.0605 .
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 0.02774 on 49 degrees of freedom
## Multiple R-squared: 0.07005, Adjusted R-squared: 0.05107
## F-statistic: 3.691 on 1 and 49 DF, p-value: 0.06053Interaction - With in Month
##
## Call:
## lm(formula = food_waste_p_kg ~ container * time, data = .)
##
## Residuals:
## Min 1Q Median 3Q Max
## -0.076915 -0.019486 -0.000832 0.025310 0.076839
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) 0.0552496 0.0151211 3.654 0.000649 ***
## container 0.0233299 0.0205930 1.133 0.263003
## time -0.0009027 0.0010172 -0.888 0.379327
## container:time 0.0013136 0.0013979 0.940 0.352184
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 0.03667 on 47 degrees of freedom
## Multiple R-squared: 0.07158, Adjusted R-squared: 0.01232
## F-statistic: 1.208 on 3 and 47 DF, p-value: 0.3172##
## Call:
## lm(formula = solid_waste_p_kg ~ container * time, data = .)
##
## Residuals:
## Min 1Q Median 3Q Max
## -0.025961 -0.006713 -0.002136 0.008028 0.024176
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) 0.0189002 0.0046765 4.042 0.000195 ***
## container 0.0054568 0.0063688 0.857 0.395900
## time -0.0002942 0.0003146 -0.935 0.354488
## container:time 0.0003079 0.0004323 0.712 0.479863
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 0.01134 on 47 degrees of freedom
## Multiple R-squared: 0.02488, Adjusted R-squared: -0.03736
## F-statistic: 0.3997 on 3 and 47 DF, p-value: 0.7538##
## Call:
## lm(formula = liquid_waste_p_kg ~ container * time, data = .)
##
## Residuals:
## Min 1Q Median 3Q Max
## -0.059985 -0.016844 0.000476 0.019769 0.065107
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) 0.0363494 0.0115661 3.143 0.0029 **
## container 0.0178730 0.0157515 1.135 0.2623
## time -0.0006086 0.0007780 -0.782 0.4380
## container:time 0.0010057 0.0010693 0.941 0.3517
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 0.02805 on 47 degrees of freedom
## Multiple R-squared: 0.08762, Adjusted R-squared: 0.02938
## F-statistic: 1.504 on 3 and 47 DF, p-value: 0.2256Interaction - b/w week and month
Multiple - month
##
## Call:
## lm(formula = food_waste_p_kg ~ container * time + temp_c + humi_p +
## prcp_mm + tueE + wedE + thuE + friE + satE + liquors + sales +
## halfs, data = .)
##
## Residuals:
## Min 1Q Median 3Q Max
## -0.053369 -0.022131 -0.003374 0.021734 0.075991
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) 1.014e-01 8.249e-02 1.230 0.227
## container 7.872e-03 2.206e-02 0.357 0.723
## time -6.602e-04 1.077e-03 -0.613 0.544
## temp_c 1.270e-03 9.159e-04 1.386 0.174
## humi_p -6.900e-04 8.583e-04 -0.804 0.427
## prcp_mm -5.080e-03 3.284e-03 -1.547 0.131
## tueE 2.077e-02 1.256e-02 1.653 0.107
## wedE 2.879e-03 1.314e-02 0.219 0.828
## thuE -6.504e-03 1.189e-02 -0.547 0.588
## friE -2.812e-04 1.181e-02 -0.024 0.981
## satE -1.764e-02 1.256e-02 -1.404 0.169
## liquors -9.237e-05 3.544e-03 -0.026 0.979
## sales 4.438e-05 4.404e-05 1.008 0.320
## halfs 8.675e-04 2.353e-03 0.369 0.715
## container:time 1.612e-03 1.646e-03 0.979 0.334
##
## Residual standard error: 0.0361 on 36 degrees of freedom
## Multiple R-squared: 0.3108, Adjusted R-squared: 0.04284
## F-statistic: 1.16 on 14 and 36 DF, p-value: 0.3451##
## Call:
## lm(formula = solid_waste_p_kg ~ container * time + temp_c + humi_p +
## prcp_mm + tueE + wedE + thuE + friE + satE + liquors + sales +
## halfs, data = .)
##
## Residuals:
## Min 1Q Median 3Q Max
## -0.0153218 -0.0060254 -0.0003569 0.0044083 0.0251027
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) 3.841e-02 2.444e-02 1.572 0.1248
## container 6.886e-04 6.537e-03 0.105 0.9167
## time -1.981e-04 3.190e-04 -0.621 0.5386
## temp_c 5.914e-04 2.714e-04 2.179 0.0359 *
## humi_p -3.221e-04 2.543e-04 -1.266 0.2135
## prcp_mm -1.030e-03 9.730e-04 -1.059 0.2967
## tueE 4.124e-03 3.723e-03 1.108 0.2754
## wedE 5.441e-03 3.895e-03 1.397 0.1709
## thuE -3.284e-03 3.525e-03 -0.932 0.3576
## friE 3.169e-04 3.500e-03 0.091 0.9284
## satE -4.874e-03 3.723e-03 -1.309 0.1988
## liquors -3.214e-04 1.050e-03 -0.306 0.7613
## sales 2.659e-05 1.305e-05 2.037 0.0490 *
## halfs -2.991e-04 6.972e-04 -0.429 0.6705
## container:time 2.937e-04 4.877e-04 0.602 0.5508
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 0.0107 on 36 degrees of freedom
## Multiple R-squared: 0.3355, Adjusted R-squared: 0.07711
## F-statistic: 1.298 on 14 and 36 DF, p-value: 0.2559##
## Call:
## lm(formula = liquid_waste_p_kg ~ container * time + temp_c +
## humi_p + prcp_mm + tueE + wedE + thuE + friE + satE + liquors +
## sales + halfs, data = .)
##
## Residuals:
## Min 1Q Median 3Q Max
## -0.045207 -0.017250 -0.003794 0.018052 0.063976
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) 6.301e-02 6.452e-02 0.977 0.335
## container 7.183e-03 1.726e-02 0.416 0.680
## time -4.621e-04 8.421e-04 -0.549 0.587
## temp_c 6.782e-04 7.164e-04 0.947 0.350
## humi_p -3.680e-04 6.713e-04 -0.548 0.587
## prcp_mm -4.050e-03 2.568e-03 -1.577 0.124
## tueE 1.664e-02 9.827e-03 1.694 0.099 .
## wedE -2.562e-03 1.028e-02 -0.249 0.805
## thuE -3.220e-03 9.303e-03 -0.346 0.731
## friE -5.981e-04 9.239e-03 -0.065 0.949
## satE -1.277e-02 9.827e-03 -1.300 0.202
## liquors 2.291e-04 2.772e-03 0.083 0.935
## sales 1.780e-05 3.445e-05 0.517 0.609
## halfs 1.167e-03 1.840e-03 0.634 0.530
## container:time 1.318e-03 1.287e-03 1.024 0.313
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 0.02824 on 36 degrees of freedom
## Multiple R-squared: 0.2919, Adjusted R-squared: 0.01648
## F-statistic: 1.06 on 14 and 36 DF, p-value: 0.4226Multi - b/w week and month
Quadratic - b/w week and month
